404648640 has 336 divisors, whose sum is σ = 1553419296. Its totient is φ = 95846400.

The previous prime is 404648633. The next prime is 404648669. The reversal of 404648640 is 46846404.

404648640 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404648595 and 404648604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678920 + ... + 1679160.

Almost surely, 2^404648640 is an apocalyptic number.

404648640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776709648).

404648640 is an abundant number, since it is smaller than the sum of its proper divisors (1148770656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404648640 is a wasteful number, since it uses less digits than its factorization.

404648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 404648640 is about 20115.8802939369. The cubic root of 404648640 is about 739.6496027973.

The spelling of 404648640 in words is "four hundred four million, six hundred forty-eight thousand, six hundred forty".